Best Answer Pickett, 24 July 2014 - 12:27 PM

Pickett,

can you come up with a different set with smaller magnitudes (as in absolute values) for a, b, c, and d?

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, Jul 23 2014 05:42 AM

Best Answer Pickett, 24 July 2014 - 12:27 PM

Pickett,

can you come up with a different set with smaller magnitudes (as in absolute values) for a, b, c, and d?

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3 replies to this topic

Posted 23 July 2014 - 05:42 AM

Suppose a, b, c, and d belong to the set of nonzero integers.

Let P(x) = (x^{4 }+ ax^{3} + bx^{2} + cx + d)^{2}.

Determine one of the sets of values of a, b, c, and d, such that when P(x) is

expanded into individual terms of an 8th degree polynomial, that polynomial

will have the fewest number of nonzero terms possible.

Bonus:

Write P(x) in its expanded form.

Posted 23 July 2014 - 01:58 PM

Spoiler for 2 answers

**Edited by Pickett, 23 July 2014 - 02:04 PM.**

Posted 23 July 2014 - 07:00 PM

Pickett,

can you come up with a different set with smaller magnitudes (as in absolute values) for a, b, c, and d?

Posted 24 July 2014 - 12:27 PM Best Answer

Pickett,

Spoiler for Sure

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